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Finding the Third Proportional to 76,033 and 111,160.50

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Solution

The third proportional to 76,033 and 111,160.50 is: 162,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,033 : 111,160.50 = 111,160.50 : x
  2. Step 2: Convert to fraction form
    76,033/111,160.50 = 111,160.50/x
  3. Step 3: Cross multiply
    76,033x = 111,160.50 × 111,160.50
  4. Step 4: Simplify right side
    76,033x = 12,356,656,760.25
  5. Step 5: Solve for x
    x = 12,356,656,760.25/76,033
  6. Step 6: Final answer
    x = 162,517.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.